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Finding the Fourth Proportional to 12,897.32, 19,332.27 and 8,202.56

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Solution

The fourth proportional to 12,897.32, 19,332.27 and 8,202.56 is: 12,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.32 : 19,332.27 = 8,202.56 : x
  2. Step 2: Convert to fraction form
    12,897.32/19,332.27 = 8,202.56/x
  3. Step 3: Cross multiply
    12,897.32x = 19,332.27 × 8,202.56
  4. Step 4: Simplify right side
    12,897.32x = 158,574,007.95
  5. Step 5: Solve for x
    x = 158,574,007.95/12,897.32
  6. Step 6: Final answer
    x = 12,295.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.